Details

Time bar (total: 12.0s)

analyze148.0ms (1.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.2%0.1%6
43.7%56.2%0.1%7
50%50%0.1%8
67.1%32.8%0.1%9
71.8%28.1%0.1%10
82.3%17.6%0.1%11
85.1%14.8%0.1%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.6s (13.3%)

Results
1.2s6934×body256valid
221.0ms634×body1024valid
164.0ms681×body512valid
2.0ms7×body2048valid

preprocess99.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
1050×fma-neg_binary64
719×times-frac_binary64
363×associate-/l*_binary64
326×unsub-neg_binary64
291×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
27932
320928
468428
5203428
6476928
7631328
8766028
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 y) x) (+.f64 x 1)))
Outputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))
(fma.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y 1)
(fma.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)) 1)
(fma.f64 y (/.f64 (-.f64 1 x) (-.f64 -1 y)) 1)
(-.f64 1 (/.f64 (*.f64 (-.f64 1 y) x) (+.f64 x 1)))
(-.f64 1 (/.f64 (-.f64 1 y) (/.f64 (+.f64 1 x) x)))
(-.f64 1 (/.f64 x (/.f64 (+.f64 1 x) (-.f64 1 y))))
(-.f64 1 (*.f64 (/.f64 x (+.f64 1 x)) (-.f64 1 y)))
(fma.f64 (/.f64 (+.f64 y -1) (+.f64 1 x)) x 1)
(fma.f64 x (/.f64 (+.f64 y -1) (+.f64 1 x)) 1)
(fma.f64 x (/.f64 (-.f64 1 y) (-.f64 -1 x)) 1)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
779×div-sub_binary64
766×fma-def_binary64
626×fma-neg_binary64
411×sub-neg_binary64
312×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0916
11916
24316
311314
434414
592514
6243214
7370114
8550214
9742314
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Outputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))
(-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))
(fma.f64 (/.f64 (-.f64 x 1) (+.f64 1 y)) y 1)
(fma.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)) 1)
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
12.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.1b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
▶21.1b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Compiler

Compiled 25 to 19 computations (24% saved)

localize48.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) y)
✓3.0b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
✓8.5b
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 (-.f64 1 x) y)
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
1.0ms
y
@-inf
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite124.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
676×prod-diff_binary64
549×log-prod_binary64
292×fma-def_binary64
286×pow2_binary64
197×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
120836
2313536
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(*.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 y) y)) (/.f64 x (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (+.f64 1 y))))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule 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x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3)) (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2)) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))) (neg.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 2) (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 2)) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) y) (neg.f64 (/.f64 1 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 2) (cbrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 y (neg.f64 x)))))))

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
633×sub-neg_binary64
568×times-frac_binary64
433×associate-+l+_binary64
375×fma-neg_binary64
308×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881131
12801078
2917998
34106894
Stop Event
1×node limit
Counts
212 → 191
Calls
Call 1
Inputs
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
Outputs
(/.f64 y (+.f64 1 y))
(/.f64 y (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (+.f64 -1 x)))
(*.f64 y (+.f64 (-.f64 1 x) (-.f64 (*.f64 y x) y)))
(*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (-.f64 x 1))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 y (-.f64 (*.f64 y x) y) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(*.f64 (+.f64 -1 x) (+.f64 (*.f64 y y) (neg.f64 (+.f64 y (pow.f64 y 3)))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (-.f64 x 1) (+.f64 (pow.f64 y 4) (*.f64 y y)))))
(+.f64 (*.f64 (+.f64 -1 x) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (*.f64 (+.f64 -1 x) (fma.f64 y y (pow.f64 y 4))))
(*.f64 (fma.f64 y y 1) (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x))
(-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x))
(+.f64 (/.f64 (+.f64 -1 x) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y))))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (-.f64 (/.f64 -1 y) -1))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (+.f64 x (/.f64 1 y))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x))
(-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x))
(+.f64 (/.f64 (+.f64 -1 x) y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y))))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (-.f64 (/.f64 -1 y) -1))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (+.f64 x (/.f64 1 y))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(fma.f64 y (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 1 (fma.f64 y (-.f64 x 1) (*.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (fma.f64 y (+.f64 -1 x) (*.f64 y (*.f64 y (-.f64 1 x)))))
(fma.f64 y (+.f64 -1 x) (fma.f64 y (-.f64 y (*.f64 y x)) 1))
(+.f64 1 (*.f64 y (*.f64 (-.f64 1 x) (+.f64 -1 y))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
(fma.f64 (pow.f64 y 3) (-.f64 x 1) (+.f64 1 (fma.f64 y (-.f64 x 1) (*.f64 (-.f64 1 x) (*.f64 y y)))))
(+.f64 (fma.f64 y (+.f64 -1 x) (*.f64 y (*.f64 y (-.f64 1 x)))) (fma.f64 (+.f64 -1 x) (pow.f64 y 3) 1))
(fma.f64 (+.f64 -1 x) (pow.f64 y 3) (fma.f64 y (+.f64 -1 x) (fma.f64 y (-.f64 y (*.f64 y x)) 1)))
(+.f64 1 (*.f64 y (+.f64 (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))) (+.f64 -1 x))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (-.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (*.f64 y y))))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (+.f64 -1 x) y))
(+.f64 (+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (-.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (*.f64 y y))))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (-.f64 x 1) y) (fma.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)) x)) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 (-.f64 1 x) y) (+.f64 x (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (/.f64 (+.f64 -1 x) (*.f64 y y)))
(+.f64 x (+.f64 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (+.f64 -1 x) (*.f64 y y))))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 -1 y))
✓3.0b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Compiler

Compiled 27 to 18 computations (33.3% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
1.0ms
y
@inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
0.0ms
x
@inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
0.0ms
y
@-inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
0.0ms
y
@0
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)

rewrite101.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
619×unpow-prod-down_binary64
443×log-prod_binary64
261×pow-prod-down_binary64
258×pow2_binary64
234×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119421
2261521
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(/.f64 y (-.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 3) 1) (+.f64 (pow.f64 (*.f64 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(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y))) (sqrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (pow.f64 (/.f64 1 (neg.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 y)) (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) -2) (/.f64 y (cbrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 y) -1/2) (/.f64 y (sqrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 -1 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 y) (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) 1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) -2) 1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) 1) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 -1 y) -1/2) 1) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -1 y))) 1) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 -1 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 1 (*.f64 y y))) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2) y) 1/3) (cbrt.f64 (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -1 y)) (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 2) 3) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 y) y)) 2) -1) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) -1) (pow.f64 (/.f64 (-.f64 -1 y) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -1/2) -1) (pow.f64 (/.f64 (-.f64 -1 y) (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 -1 y) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (-.f64 -1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 y) y)) -1))))))

simplify52.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
775×fma-neg_binary64
425×associate-*l*_binary64
384×associate--l-_binary64
351×sub-neg_binary64
332×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064698
1188633
2600503
32801489
Stop Event
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 y (-.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(*.f64 -1 y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y))))
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y))))
(-.f64 1 (/.f64 y (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(fma.f64 y (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 y (-.f64 1 x)))))
(+.f64 1 (fma.f64 (*.f64 y y) (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x))))
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y))))
(fma.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y)) 1)
(fma.f64 (-.f64 1 x) (-.f64 (*.f64 y y) y) 1)
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))))
(+.f64 1 (fma.f64 (*.f64 y y) (-.f64 1 x) (fma.f64 -1 (*.f64 y (-.f64 1 x)) (*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y))) (*.f64 (-.f64 1 x) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (+.f64 -1 y)) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 y (fma.f64 y y 1)))))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(+.f64 1 (neg.f64 (-.f64 1 x)))
(-.f64 1 (-.f64 1 x))
x
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 1 y)) (/.f64 x y))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.f64 x y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (*.f64 y y)))))) (/.f64 x y))
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))
(+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(+.f64 1 (neg.f64 (-.f64 1 x)))
(-.f64 1 (-.f64 1 x))
x
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 1 y)) (/.f64 x y))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.f64 x y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (*.f64 y y)))))) (/.f64 x y))
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))
(+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(*.f64 y (+.f64 -1 y))
(-.f64 (*.f64 y y) y)
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (neg.f64 y)))
(-.f64 (*.f64 y (+.f64 -1 y)) (pow.f64 y 3))
(*.f64 y (-.f64 y (fma.f64 y y 1)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y))))
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (+.f64 (neg.f64 y) (pow.f64 y 4))))
(-.f64 (-.f64 (fma.f64 y y (pow.f64 y 4)) y) (pow.f64 y 3))
(-.f64 (fma.f64 y (+.f64 -1 y) (pow.f64 y 4)) (pow.f64 y 3))
(*.f64 (+.f64 y (pow.f64 y 3)) (+.f64 -1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) -1)
(+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) -1)
(+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))

eval164.0ms (1.4%)

Compiler

Compiled 5722 to 4210 computations (26.4% saved)

prune104.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New32411335
Fresh000
Picked101
Done011
Total32512337
Error
0.0b
Counts
337 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
39.5b
x
32.4b
(-.f64 1 (-.f64 y (*.f64 y x)))
40.0b
1
▶44.7b
(-.f64 1 (-.f64 1 x))
✓21.1b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
32.4b
(-.f64 1 (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))))
▶39.2b
(-.f64 1 (/.f64 y (+.f64 y 1)))
32.0b
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
▶32.3b
(+.f64 x (/.f64 (-.f64 1 x) y))
▶12.1b
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))
30.7b
(*.f64 (/.f64 y (+.f64 y 1)) x)
▶32.1b
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
Compiler

Compiled 237 to 175 computations (26.2% saved)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y)))
✓0.0b
(/.f64 (+.f64 1 y) y)
✓0.2b
(/.f64 1 (/.f64 (+.f64 1 y) y))
✓3.0b
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))
Compiler

Compiled 47 to 33 computations (29.8% saved)

series6.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/.f64 (+.f64 1 y) y)
0.0ms
y
@inf
(/.f64 (+.f64 1 y) y)
0.0ms
x
@0
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))
0.0ms
y
@0
(/.f64 (+.f64 1 y) y)
0.0ms
y
@-inf
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))

rewrite126.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
895×prod-diff_binary64
620×log-prod_binary64
367×fma-def_binary64
221×log-div_binary64
212×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01046
123943
2360443
Stop Event
1×node limit
Counts
4 → 248
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))
(/.f64 1 (/.f64 (+.f64 1 y) y))
(/.f64 (+.f64 1 y) y)
(*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y)))
Outputs
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simplify198.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
712×sub-neg_binary64
593×times-frac_binary64
574×fma-neg_binary64
468×associate-+l+_binary64
369×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01001183
13151125
210191041
34455944
Stop Event
1×node limit
Counts
320 → 309
Calls
Call 1
Inputs
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
Outputs
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))))
(fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1))
(+.f64 1 (*.f64 y (*.f64 (-.f64 1 x) (+.f64 y -1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
(fma.f64 (pow.f64 y 3) (+.f64 x -1) (+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x)))))
(+.f64 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1))
(fma.f64 (+.f64 x -1) (pow.f64 y 3) (fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1)))
(+.f64 1 (fma.f64 (+.f64 x -1) (pow.f64 y 3) (*.f64 y (*.f64 (-.f64 1 x) (+.f64 y -1)))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) y))
(+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 x (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))
(-.f64 (+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (+.f64 x -1) y))
(+.f64 (-.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) y))
(+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) (fma.f64 -1 (/.f64 (+.f64 x -1) (pow.f64 y 3)) x)) (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 (-.f64 x (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (*.f64 y y)))
(+.f64 (+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(+.f64 (-.f64 y (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1 y)))
(-.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y y (pow.f64 y 4)))
(*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 y))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 y))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 y))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 y))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))
(/.f64 (*.f64 (neg.f64 x) y) (+.f64 1 y))
(*.f64 (/.f64 y (+.f64 1 y)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))
(/.f64 (*.f64 (neg.f64 x) y) (+.f64 1 y))
(*.f64 (/.f64 y (+.f64 1 y)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (*.f64 y y)))
(fma.f64 y (-.f64 1 x) (*.f64 y (*.f64 y (+.f64 x -1))))
(*.f64 y (+.f64 (-.f64 1 x) (*.f64 y (+.f64 x -1))))
(*.f64 y (*.f64 (+.f64 x -1) (+.f64 y -1)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 (*.f64 y (*.f64 y (+.f64 x -1))) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(fma.f64 (+.f64 x -1) (*.f64 y y) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (-.f64 (*.f64 y y) (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (+.f64 (pow.f64 y 4) (*.f64 y y)))))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(fma.f64 (+.f64 x -1) (fma.f64 y y (pow.f64 y 4)) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) x)
(-.f64 (/.f64 (+.f64 x -1) y) (+.f64 x -1))
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 (+.f64 x -1) y) (+.f64 x -1)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (-.f64 (/.f64 -1 y) -1))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(-.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y)))) (/.f64 1 y)) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 x (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (+.f64 x (/.f64 1 y)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) x)
(-.f64 (/.f64 (+.f64 x -1) y) (+.f64 x -1))
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 (+.f64 x -1) y) (+.f64 x -1)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (-.f64 (/.f64 -1 y) -1))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
(-.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y)))) (/.f64 1 y)) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 x (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (+.f64 x (/.f64 1 y)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))

localize28.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.2b
(-.f64 1 (-.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 1 (-.f64 1 x))
1.0ms
x
@inf
(-.f64 1 (-.f64 1 x))
0.0ms
x
@-inf
(-.f64 1 (-.f64 1 x))

rewrite141.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
567×pow1_binary64
534×add-log-exp_binary64
534×log1p-expm1-u_binary64
534×expm1-log1p-u_binary64
526×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054
11141
215851
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 1 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (-.f64 1 (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (log.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x))) (expm1.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 0 (-.f64 (*.f64 x x) (*.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x)))) (-.f64 1 (expm1.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
44 → 33
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize41.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 (-.f64 1 x) y))
✓0.0b
(/.f64 (-.f64 1 x) y)
Compiler

Compiled 20 to 12 computations (40% saved)

series11.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 1 x) y)
1.0ms
x
@0
(/.f64 (-.f64 1 x) y)
1.0ms
x
@0
(+.f64 x (/.f64 (-.f64 1 x) y))
1.0ms
y
@-inf
(/.f64 (-.f64 1 x) y)
1.0ms
x
@inf
(+.f64 x (/.f64 (-.f64 1 x) y))

rewrite143.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
964×prod-diff_binary64
617×unpow-prod-down_binary64
398×log-prod_binary64
259×fma-def_binary64
222×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115917
2239717
Stop Event
1×node limit
Counts
2 → 177
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
(+.f64 x (/.f64 (-.f64 1 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (cbrt.f64 (*.f64 y y))) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (cbrt.f64 (*.f64 y y))) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (cbrt.f64 (*.f64 y y))) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 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y))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (pow.f64 (/.f64 1 (-.f64 x (/.f64 (-.f64 1 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 1 x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 x (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (*.f64 x x)) (-.f64 (/.f64 (-.f64 1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 1 x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)) x)))))

simplify115.0ms (1%)

Algorithm
1×egg-herbie
Rules
258×fma-neg_binary64
229×fma-def_binary64
44×distribute-rgt-in_binary64
39×cancel-sign-sub-inv_binary64
37×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020450
147364
294286
3187286
4353286
5654286
61010286
71142286
81156286
Stop Event
1×saturated
Counts
213 → 190
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(*.f64 x (+.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 y)))
(*.f64 x (+.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (+.f64 y 1))
✓4.5b
(-.f64 1 (/.f64 y (+.f64 y 1)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(-.f64 1 (/.f64 y (+.f64 y 1)))
1.0ms
y
@-inf
(-.f64 1 (/.f64 y (+.f64 y 1)))
1.0ms
y
@0
(-.f64 1 (/.f64 y (+.f64 y 1)))
0.0ms
y
@0
(/.f64 y (+.f64 y 1))
0.0ms
y
@-inf
(/.f64 y (+.f64 y 1))

rewrite93.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
812×pow1_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
759×add-log-exp_binary64
745×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
113817
2201617
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(-.f64 1 (/.f64 y (+.f64 y 1)))
(/.f64 y (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (/.f64 1 (+.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2))) (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (+.f64 1 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2))) (neg.f64 (+.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) (/.f64 (neg.f64 y) (+.f64 1 y))) (/.f64 (neg.f64 y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) (/.f64 (neg.f64 y) (+.f64 1 y)))) (-.f64 1 (/.f64 (neg.f64 y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (exp.f64 (neg.f64 (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (sqrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 y))) (/.f64 y (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))))

simplify80.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
491×fma-def_binary64
414×sub-neg_binary64
400×associate-/r*_binary64
275×distribute-rgt-in_binary64
238×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038321
1108309
2294301
3873296
43428294
Stop Event
1×node limit
Counts
84 → 87
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
Outputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (neg.f64 y) (*.f64 y y)))
(+.f64 1 (-.f64 (*.f64 y y) y))
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))))
(+.f64 1 (fma.f64 -1 (pow.f64 y 3) (+.f64 (neg.f64 y) (*.f64 y y))))
(+.f64 1 (-.f64 (-.f64 (*.f64 y y) y) (pow.f64 y 3)))
(-.f64 (-.f64 (fma.f64 y y 1) y) (pow.f64 y 3))
(fma.f64 y (-.f64 y (fma.f64 y y 1)) 1)
(*.f64 (-.f64 1 y) (fma.f64 y y 1))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4)))))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(*.f64 y (-.f64 1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))
(fma.f64 (*.f64 y y) (+.f64 -1 y) y)
(fma.f64 (-.f64 1 y) y (pow.f64 y 3))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(-.f64 (+.f64 (pow.f64 y 3) (-.f64 y (pow.f64 y 4))) (*.f64 y y))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 -1 y) y) (pow.f64 y 4))
(*.f64 (fma.f64 y y 1) (*.f64 y (-.f64 1 y)))
(*.f64 (-.f64 1 y) (+.f64 y (pow.f64 y 3)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y)))
(-.f64 1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 1 (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (/.f64 -1 (*.f64 y y)))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y)))
(-.f64 1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 1 (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (/.f64 -1 (*.f64 y y)))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 y) -1)
✓0.0b
(/.f64 (+.f64 -1 x) y)
✓0.0b
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
✓0.1b
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))
Compiler

Compiled 46 to 32 computations (30.4% saved)

series18.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))
1.0ms
y
@-inf
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))
1.0ms
x
@0
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))
1.0ms
y
@0
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))
1.0ms
x
@inf
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))

rewrite134.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
624×log-prod_binary64
482×fma-def_binary64
338×pow2_binary64
245×fma-neg_binary64
240×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
125247
2388247
Stop Event
1×node limit
Counts
4 → 238
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 x) y)
(+.f64 (/.f64 1 y) -1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (*.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (+.f64 -1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x 1) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) (/.f64 (sqrt.f64 (+.f64 -1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) (pow.f64 y -1/2)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 y -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 -1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) 1)) (/.f64 1 (+.f64 (/.f64 1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) (cbrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 y -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 y -2) 1) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -2) -1) (/.f64 1 (+.f64 (/.f64 1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -1/2) 1) (-.f64 (pow.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 y -2) 1) (/.f64 -1 y)) (+.f64 -1 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 y) 1) (+.f64 (pow.f64 y -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (-.f64 (+.f64 (pow.f64 y -2) 1) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 1 (-.f64 (pow.f64 y -2) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -2) -1) (+.f64 (/.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 y -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 y -2) 1) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y -2) -1)) (neg.f64 (+.f64 (/.f64 1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y -2)) (-.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 y -2) 1) (/.f64 -1 y)) (+.f64 -1 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 y) 1) (+.f64 (pow.f64 y -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (neg.f64 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)) -1)))))

simplify105.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
671×div-sub_binary64
606×times-frac_binary64
327×fma-def_binary64
311×associate-*l/_binary64
303×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0451390
11121193
2287949
3859909
42838909
57689909
Stop Event
1×node limit
Counts
322 → 270
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x))
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 1 y)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
Outputs
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))
(/.f64 (+.f64 (/.f64 -1 y) 1) y)
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y)
(/.f64 x (/.f64 y (+.f64 -1 (/.f64 1 y))))
(/.f64 (+.f64 (/.f64 x y) (neg.f64 x)) y)
(/.f64 (-.f64 (/.f64 x y) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y)
(/.f64 x (/.f64 y (+.f64 -1 (/.f64 1 y))))
(/.f64 (+.f64 (/.f64 x y) (neg.f64 x)) y)
(/.f64 (-.f64 (/.f64 x y) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(neg.f64 (/.f64 (+.f64 x -1) y))
(/.f64 (neg.f64 (+.f64 -1 x)) y)
(/.f64 (fma.f64 -1 x 1) y)
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(neg.f64 (/.f64 (+.f64 x -1) y))
(/.f64 (neg.f64 (+.f64 -1 x)) y)
(/.f64 (fma.f64 -1 x 1) y)
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))
(/.f64 (+.f64 (/.f64 -1 y) 1) y)
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x)
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))
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(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x))
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))))
(*.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)))
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(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(fma.f64 -1 (/.f64 (+.f64 x -1) y) x)
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(fma.f64 -1 (/.f64 (+.f64 x -1) y) x)
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 1 y)
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))

eval492.0ms (4.1%)

Compiler

Compiled 16286 to 11109 computations (31.8% saved)

prune336.0ms (2.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New87811889
Fresh336
Picked101
Done415
Total88615901
Error
0b
Counts
901 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓39.2b
(-.f64 1 (/.f64 y (+.f64 y 1)))
55.3b
(/.f64 1 y)
32.0b
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
▶32.4b
(+.f64 x (/.f64 1 y))
▶32.6b
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
32.4b
(-.f64 1 (*.f64 y (*.f64 (+.f64 x -1) (+.f64 y -1))))
▶12.1b
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
39.5b
(-.f64 x (/.f64 x y))
32.0b
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
55.6b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
39.5b
x
40.0b
1
▶30.7b
(*.f64 (/.f64 y (+.f64 y 1)) x)
32.4b
(-.f64 1 (-.f64 y (*.f64 y x)))
▶40.1b
(-.f64 1 y)
Compiler

Compiled 271 to 196 computations (27.7% saved)

localize56.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 y) y)
✓0.1b
(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))
✓3.0b
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
1.0ms
y
@inf
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
1.0ms
y
@-inf
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
1.0ms
x
@-inf
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
0.0ms
x
@inf
(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))

rewrite224.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
597×log-prod_binary64
338×pow-prod-down_binary64
323×fma-def_binary64
300×pow2_binary64
240×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
121529
2342129
Stop Event
1×node limit
Counts
2 → 117
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 1 x) (neg.f64 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 (-.f64 1 x) (neg.f64 (/.f64 y (+.f64 1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (neg.f64 (/.f64 y (+.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (*.f64 x (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 2) (cbrt.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) (fma.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)) 1) 1)))))) (#(struct:change 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simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
629×sub-neg_binary64
568×times-frac_binary64
438×associate-+l+_binary64
373×fma-neg_binary64
308×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086971
1274918
2909838
34109734
Stop Event
1×node limit
Counts
165 → 162
Calls
Call 1
Inputs
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
Outputs
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))))
(fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1))
(+.f64 1 (*.f64 y (*.f64 (-.f64 1 x) (+.f64 -1 y))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
(fma.f64 (pow.f64 y 3) (+.f64 x -1) (+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x)))))
(+.f64 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1))
(fma.f64 (+.f64 x -1) (pow.f64 y 3) (fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1)))
(+.f64 1 (*.f64 y (+.f64 (+.f64 x -1) (*.f64 y (*.f64 (+.f64 x -1) (+.f64 -1 y))))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (+.f64 x (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) (-.f64 (/.f64 1 y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (+.f64 x -1) y))
(+.f64 (+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) (fma.f64 -1 (/.f64 (+.f64 x -1) (pow.f64 y 3)) x)) (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 (-.f64 x (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (*.f64 y y)))
(+.f64 (-.f64 x (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))
(/.f64 (neg.f64 y) (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))
(/.f64 (neg.f64 y) (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (*.f64 y y)))
(fma.f64 y (-.f64 1 x) (*.f64 y (*.f64 y (+.f64 x -1))))
(*.f64 y (+.f64 (-.f64 1 x) (*.f64 y (+.f64 x -1))))
(*.f64 y (*.f64 (+.f64 x -1) (+.f64 -1 y)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 (*.f64 y (*.f64 y (+.f64 x -1))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 (+.f64 x -1) (*.f64 y y) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(*.f64 (+.f64 x -1) (+.f64 (*.f64 y y) (neg.f64 (+.f64 y (pow.f64 y 3)))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (+.f64 (pow.f64 y 4) (*.f64 y y)))))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 (+.f64 x -1) (fma.f64 y y (pow.f64 y 4)) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(*.f64 (fma.f64 y y 1) (*.f64 y (*.f64 (+.f64 x -1) (+.f64 -1 y))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (+.f64 x -1) y) x) (/.f64 (-.f64 1 x) (*.f64 y y))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (+.f64 x -1) y))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (+.f64 x (/.f64 1 y)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (+.f64 x -1) y) x) (/.f64 (-.f64 1 x) (*.f64 y y))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (+.f64 x -1) y))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (+.f64 x (/.f64 1 y)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))

localize51.0ms (0.4%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 1 y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 x (/.f64 1 y))
0.0ms
x
@-inf
(+.f64 x (/.f64 1 y))
0.0ms
x
@inf
(+.f64 x (/.f64 1 y))
0.0ms
y
@0
(+.f64 x (/.f64 1 y))
0.0ms
y
@inf
(+.f64 x (/.f64 1 y))

rewrite81.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
665×pow1_binary64
620×add-log-exp_binary64
620×log1p-expm1-u_binary64
620×expm1-log1p-u_binary64
606×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217167
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 y))) (/.f64 (pow.f64 y -2) (-.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) 2) (cbrt.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 y))) (sqrt.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 y -2)) (/.f64 1 (-.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y))) (+.f64 (pow.f64 x 3) (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 1 y)) (-.f64 (*.f64 x x) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3)) (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 (*.f64 x x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 y -2)) (-.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y -2))) (neg.f64 (-.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 y))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06138
19138
Stop Event
1×saturated
Counts
57 → 36
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (+.f64 y 1))
✓0.0b
(*.f64 (/.f64 y (+.f64 y 1)) x)
Compiler

Compiled 20 to 12 computations (40% saved)

series45.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
42.0ms
y
@0
(*.f64 (/.f64 y (+.f64 y 1)) x)
1.0ms
y
@inf
(*.f64 (/.f64 y (+.f64 y 1)) x)
1.0ms
x
@inf
(*.f64 (/.f64 y (+.f64 y 1)) x)
1.0ms
x
@0
(*.f64 (/.f64 y (+.f64 y 1)) x)
0.0ms
x
@-inf
(*.f64 (/.f64 y (+.f64 y 1)) x)

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
823×pow1_binary64
766×log1p-expm1-u_binary64
766×expm1-log1p-u_binary64
765×add-log-exp_binary64
749×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2206710
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 y 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y)))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
707×fma-def_binary64
459×times-frac_binary64
414×distribute-lft-out--_binary64
376×distribute-rgt-neg-in_binary64
347×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033294
194281
2254270
3923257
44169250
Stop Event
1×node limit
Counts
47 → 39
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (+.f64 (neg.f64 (*.f64 y y)) y))
(*.f64 y (-.f64 x (*.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y))))
(*.f64 x (fma.f64 (*.f64 y y) (+.f64 y -1) y))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4))))
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 y 4))))
(*.f64 x (*.f64 (fma.f64 y y 1) (fma.f64 y (neg.f64 y) y)))
(*.f64 (-.f64 x (*.f64 y x)) (+.f64 y (pow.f64 y 3)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
✓0.0b
(+.f64 1 (/.f64 -1 y))
✓0.1b
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
Compiler

Compiled 30 to 21 computations (30% saved)

series7.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
1.0ms
y
@0
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
1.0ms
y
@-inf
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
0.0ms
y
@inf
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
0.0ms
x
@inf
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
848×prod-diff_binary64
447×log-prod_binary64
350×fma-def_binary64
285×pow-prod-down_binary64
256×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
119630
2277130
Stop Event
1×node limit
Counts
3 → 136
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(+.f64 1 (/.f64 -1 y))
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
Outputs
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(/.f64 -1 y)) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (+.f64 1 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (+.f64 1 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 1 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (neg.f64 (/.f64 -1 y))) (/.f64 -1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (+.f64 1 (/.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 1 (/.f64 -1 y)) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 1 (/.f64 -1 y)) (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 y))) (sqrt.f64 y)) x)))))

simplify66.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
665×div-sub_binary64
434×unswap-sqr_binary64
434×fma-neg_binary64
405×fma-def_binary64
360×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
015492
129492
247492
396492
4219492
5658462
62857414
75682414
Stop Event
1×node limit
Counts
184 → 150
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
x
(+.f64 (/.f64 1 y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
x
(+.f64 (/.f64 1 y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
Outputs
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
x
(+.f64 (/.f64 1 y) x)
(-.f64 x (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
x
(+.f64 (/.f64 1 y) x)
(-.f64 x (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 x (/.f64 (/.f64 -1 y) y)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 y) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) x)

eval155.0ms (1.3%)

Compiler

Compiled 7201 to 5126 computations (28.8% saved)

prune80.0ms (0.7%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New4656471
Fresh459
Picked011
Done145
Total47016486
Error
0b
Counts
486 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.0b
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
39.5b
x
▶39.5b
(-.f64 x (/.f64 x y))
✓39.2b
(-.f64 1 (/.f64 y (+.f64 y 1)))
▶30.7b
(/.f64 x (/.f64 (+.f64 y 1) y))
32.0b
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
✓32.4b
(+.f64 x (/.f64 1 y))
✓32.6b
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
55.3b
(/.f64 1 y)
▶55.0b
(*.f64 y x)
55.6b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
40.0b
1
✓30.7b
(*.f64 (/.f64 y (+.f64 y 1)) x)
▶12.1b
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
32.4b
(-.f64 1 (-.f64 y (*.f64 y x)))
✓40.1b
(-.f64 1 y)
Compiler

Compiled 241 to 173 computations (28.2% saved)

localize44.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1))
✓3.0b
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
Compiler

Compiled 36 to 27 computations (25% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
1.0ms
x
@inf
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
1.0ms
x
@0
(/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1))
1.0ms
y
@-inf
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1))

rewrite114.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
675×prod-diff_binary64
523×log-prod_binary64
289×pow2_binary64
273×fma-def_binary64
199×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
121429
2318729
Stop Event
1×node limit
Counts
2 → 158
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
(/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1))
Outputs
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(2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y))) (neg.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (/.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 y)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 y)))) (neg.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (/.f64 1 y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (/.f64 1 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 y)))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 y)))) (neg.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 y -1/2)))) (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 y -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 y -3))) (-.f64 (+.f64 (pow.f64 y -2) 1) (/.f64 1 y)) (neg.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 y -2) -1)) (+.f64 (/.f64 1 y) -1) (neg.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))))

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
668×sub-neg_binary64
543×fma-neg_binary64
509×associate-+l+_binary64
472×fma-def_binary64
417×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911020
1304976
21034912
34911885
Stop Event
1×node limit
Counts
206 → 205
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
x
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) x)))))
(/.f64 1 (+.f64 (/.f64 1 y) 1))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y))) x)
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))) (+.f64 (/.f64 x (pow.f64 y 2)) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) y))))) (+.f64 (/.f64 x (pow.f64 y 2)) x))
Outputs
(-.f64 1 (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y))))
(+.f64 1 (/.f64 -1 (+.f64 1 (/.f64 1 y))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (+.f64 1 (/.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (+.f64 1 (/.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (-.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 -1 (+.f64 1 (/.f64 1 y)))))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))))
(+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 y (*.f64 y (-.f64 1 x)))))
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 1 x) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))))))
(+.f64 1 (fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 (*.f64 (-.f64 1 x) (pow.f64 y 3))))))
(+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (-.f64 1 x) (+.f64 (neg.f64 (pow.f64 y 3)) (*.f64 y y)))))
(fma.f64 y (+.f64 x -1) (fma.f64 (-.f64 1 x) (-.f64 (*.f64 y y) (pow.f64 y 3)) 1))
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 y (*.f64 y y))) (fma.f64 y (+.f64 x -1) 1))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) y))
(-.f64 x (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
x
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) y))
(-.f64 x (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) x)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(/.f64 1 (+.f64 (/.f64 1 y) 1))
(/.f64 1 (+.f64 1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1)))
(/.f64 (neg.f64 x) (+.f64 1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1)))
(/.f64 (neg.f64 x) (+.f64 1 (/.f64 1 y)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (/.f64 1 y) 1))) (/.f64 1 (+.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (/.f64 x (+.f64 1 (/.f64 1 y))) (/.f64 1 (+.f64 1 (/.f64 1 y))))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) (/.f64 x (+.f64 1 (/.f64 1 y))))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (*.f64 y y)))
(fma.f64 (+.f64 x -1) (*.f64 y y) (*.f64 y (-.f64 1 x)))
(*.f64 y (+.f64 (-.f64 1 x) (*.f64 y (+.f64 x -1))))
(*.f64 (-.f64 1 x) (-.f64 y (*.f64 y y)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 (*.f64 y (*.f64 y (+.f64 x -1))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 y (*.f64 y (+.f64 x -1)) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (+.f64 (pow.f64 y 4) (*.f64 y y)))))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 (+.f64 x -1) (fma.f64 y y (pow.f64 y 4)) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) x)
(-.f64 1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) x))
(-.f64 1 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (/.f64 x (*.f64 y y))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (-.f64 1 (/.f64 (-.f64 1 x) y))) (+.f64 x (/.f64 1 (pow.f64 y 3)))))
(-.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) (-.f64 (+.f64 x (/.f64 1 (pow.f64 y 3))) (/.f64 x (pow.f64 y 3))))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y))) x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) x)
(-.f64 1 (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1 x) y)))) (+.f64 (/.f64 x (pow.f64 y 2)) x))
(-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) x))
(-.f64 1 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) y))))) (+.f64 (/.f64 x (pow.f64 y 2)) x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (*.f64 -1 (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) y)))) (+.f64 x (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y))) x)
(+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 (/.f64 -1 (*.f64 y y)) -1))) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) x))
(+.f64 (-.f64 1 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))) (/.f64 (+.f64 x -1) (pow.f64 y 3)))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 x y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 x (/.f64 x y))
0.0ms
y
@-inf
(-.f64 x (/.f64 x y))
0.0ms
x
@inf
(-.f64 x (/.f64 x y))
0.0ms
y
@inf
(-.f64 x (/.f64 x y))
0.0ms
y
@0
(-.f64 x (/.f64 x y))

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
678×add-log-exp_binary64
678×log1p-expm1-u_binary64
678×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11167
217897
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2) (cbrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 x (/.f64 (neg.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 x (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) y))))))

simplify44.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
148×fma-def_binary64
74×fma-neg_binary64
28×distribute-rgt-in_binary64
25×distribute-lft-in_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015218
132218
267155
3132155
4223155
5385155
6621155
7649155
Stop Event
1×saturated
Counts
60 → 44
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (/.f64 x y))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(+.f64 x (*.f64 -1 (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
Outputs
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 x (*.f64 -1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 y 1) y)
✓0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 x (/.f64 (+.f64 y 1) y))
0.0ms
y
@inf
(/.f64 x (/.f64 (+.f64 y 1) y))
0.0ms
x
@inf
(/.f64 x (/.f64 (+.f64 y 1) y))
0.0ms
y
@0
(/.f64 x (/.f64 (+.f64 y 1) y))
0.0ms
x
@-inf
(/.f64 x (/.f64 (+.f64 y 1) y))

rewrite79.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
926×pow1_binary64
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
865×add-log-exp_binary64
847×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2231517
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 y 1) y))
(/.f64 (+.f64 y 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 2) (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (+.f64 (neg.f64 y) -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 y 1)) (/.f64 (sqrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (/.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 y 1)) (/.f64 (cbrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2)) (/.f64 x (cbrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2)) (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1) y))) (/.f64 x (sqrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (+.f64 y 1) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (neg.f64 y) -1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 y 1)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 y 1)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 y 1)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (+.f64 (neg.f64 y) -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 y 1) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y (+.f64 y 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 y 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 2) (cbrt.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (*.f64 (cbrt.f64 (+.f64 y 1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y 1) y)) (sqrt.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y 1)) (*.f64 (sqrt.f64 (+.f64 y 1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) -1) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y 1)) 1) (/.f64 (sqrt.f64 (+.f64 y 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y 1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y 1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 y 1)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 y 1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 y) (log.f64 y)))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
703×fma-def_binary64
459×times-frac_binary64
415×distribute-lft-out--_binary64
378×distribute-rgt-neg-in_binary64
347×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035363
197350
2257339
3928326
44189319
Stop Event
1×node limit
Counts
108 → 91
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
1
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) 1)
Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 y (-.f64 x (*.f64 y x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 (*.f64 y y) (+.f64 y -1))))
(*.f64 x (fma.f64 (*.f64 y y) (+.f64 y -1) y))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4))))
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 y 4))))
(*.f64 (fma.f64 y y 1) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 (-.f64 x (*.f64 y x)) (+.f64 y (pow.f64 y 3)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
1
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(+.f64 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -1 (/.f64 1 y))
✓0.0b
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
✓0.1b
(/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y))))
✓0.1b
(/.f64 y (+.f64 -1 (/.f64 1 y)))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series7.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y))))
1.0ms
y
@0
(/.f64 y (+.f64 -1 (/.f64 1 y)))
0.0ms
y
@inf
(/.f64 y (+.f64 -1 (/.f64 1 y)))
0.0ms
y
@0
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
0.0ms
x
@0
(/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y))))

rewrite121.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
649×log-prod_binary64
418×fma-def_binary64
343×pow2_binary64
256×log-div_binary64
236×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01152
125350
2387750
Stop Event
1×node limit
Counts
4 → 206
Calls
Call 1
Inputs
(/.f64 y (+.f64 -1 (/.f64 1 y)))
(/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y))))
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
(+.f64 -1 (/.f64 1 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 y))) (/.f64 (pow.f64 y -2) (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) (cbrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 y -3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 y -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -1/2) 1) (-.f64 (pow.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))) (+.f64 -1 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (/.f64 -1 y)) (-.f64 1 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y -2)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 y -3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 y -2))) (neg.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) 1) (-.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))) (+.f64 -1 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 (/.f64 -1 y)) (-.f64 1 (pow.f64 y -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 y))) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (sqrt.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 y)) (sqrt.f64 (+.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)) -1)))))

simplify97.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
646×times-frac_binary64
628×fma-def_binary64
371×sub-neg_binary64
307×associate-/l*_binary64
303×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0591365
11671158
2445904
31259864
44182864
Stop Event
1×node limit
Counts
278 → 249
Calls
Call 1
Inputs
(pow.f64 y 2)
(+.f64 (pow.f64 y 3) (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 4) (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 5) (+.f64 (pow.f64 y 4) (pow.f64 y 2))))
(*.f64 -1 y)
(-.f64 (*.f64 -1 y) 1)
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) 1))
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(*.f64 -1 y)
(-.f64 (*.f64 -1 y) 1)
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) 1))
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 (/.f64 (-.f64 x 1) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x))
(*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x))
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
Outputs
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 3) (pow.f64 y 2))
(+.f64 (*.f64 y y) (pow.f64 y 3))
(fma.f64 y y (pow.f64 y 3))
(*.f64 y (fma.f64 y y y))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 4) (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 y y) (pow.f64 y 4)))
(+.f64 (pow.f64 y 3) (fma.f64 y y (pow.f64 y 4)))
(fma.f64 y (fma.f64 y y y) (pow.f64 y 4))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 5) (+.f64 (pow.f64 y 4) (pow.f64 y 2))))
(+.f64 (pow.f64 y 3) (+.f64 (+.f64 (*.f64 y y) (pow.f64 y 4)) (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 5)))
(+.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y 4)) (pow.f64 y 5))
(+.f64 (pow.f64 y 4) (fma.f64 y (fma.f64 y y y) (pow.f64 y 5)))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (*.f64 -1 y) 1)
(fma.f64 -1 y -1)
(fma.f64 y -1 -1)
(-.f64 -1 y)
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) 1))
(-.f64 (neg.f64 y) (+.f64 1 (/.f64 1 y)))
(+.f64 (fma.f64 y -1 (/.f64 -1 y)) -1)
(-.f64 (+.f64 -1 (/.f64 -1 y)) y)
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (+.f64 (fma.f64 y -1 (/.f64 -1 y)) -1) (/.f64 1 (*.f64 y y)))
(+.f64 (-.f64 (+.f64 -1 (/.f64 -1 y)) y) (/.f64 -1 (*.f64 y y)))
(+.f64 (-.f64 -1 y) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (*.f64 -1 y) 1)
(fma.f64 -1 y -1)
(fma.f64 y -1 -1)
(-.f64 -1 y)
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) 1))
(-.f64 (neg.f64 y) (+.f64 1 (/.f64 1 y)))
(+.f64 (fma.f64 y -1 (/.f64 -1 y)) -1)
(-.f64 (+.f64 -1 (/.f64 -1 y)) y)
(-.f64 (*.f64 -1 y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 y) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (+.f64 (fma.f64 y -1 (/.f64 -1 y)) -1) (/.f64 1 (*.f64 y y)))
(+.f64 (-.f64 (+.f64 -1 (/.f64 -1 y)) y) (/.f64 -1 (*.f64 y y)))
(+.f64 (-.f64 -1 y) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))
(neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))
(/.f64 (+.f64 (/.f64 -1 y) 1) y)
(/.f64 (+.f64 1 (/.f64 -1 y)) y)
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 -1 x)) y)
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 -1 x)) y)
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (+.f64 -1 x)) y)
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) y) (-.f64 1 x))
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y)
(/.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 y x))
(/.f64 (+.f64 (/.f64 x y) (neg.f64 x)) y)
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(fma.f64 -1 (/.f64 (+.f64 x -1) y) x)
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)))
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x)
(/.f64 1 y)
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))

eval318.0ms (2.6%)

Compiler

Compiled 13181 to 9736 computations (26.1% saved)

prune90.0ms (0.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New5863589
Fresh246
Picked101
Done279
Total59114605
Error
0b
Counts
605 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓55.0b
(*.f64 y x)
15.0b
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
✓39.5b
(-.f64 x (/.f64 x y))
✓39.2b
(-.f64 1 (/.f64 y (+.f64 y 1)))
✓32.4b
(+.f64 x (/.f64 1 y))
30.7b
(/.f64 x (+.f64 (/.f64 1 y) 1))
39.5b
x
55.0b
(/.f64 x (/.f64 1 y))
55.3b
(/.f64 1 y)
40.0b
1
✓30.7b
(*.f64 (/.f64 y (+.f64 y 1)) x)
✓12.1b
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
32.4b
(-.f64 1 (-.f64 y (*.f64 y x)))
✓40.1b
(-.f64 1 y)
Compiler

Compiled 102 to 75 computations (26.5% saved)

regimes366.0ms (3.1%)

Counts
33 → 3
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
(-.f64 1 (*.f64 y (*.f64 (+.f64 x -1) (+.f64 y -1))))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Outputs
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
Calls

8 calls:

77.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
63.0ms
x
53.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
45.0ms
y
37.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Results
ErrorSegmentsBranch
0.0b3x
0.0b3y
0.0b3(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b3(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b3(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.0b3(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.0b3(-.f64 1 x)
0.0b3(-.f64 1 x)
Compiler

Compiled 308 to 204 computations (33.8% saved)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.00786154708212019
15.262566597531485
20.0ms
-46946218.32249231
-934997.257668604
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes395.0ms (3.3%)

Counts
32 → 3
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
(-.f64 1 (*.f64 y (*.f64 (+.f64 x -1) (+.f64 y -1))))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 x (/.f64 (+.f64 -1 x) (/.f64 y (+.f64 -1 (/.f64 1 y)))))
(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y))))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
Outputs
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
Calls

8 calls:

85.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
70.0ms
x
62.0ms
(-.f64 1 x)
49.0ms
y
43.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Results
ErrorSegmentsBranch
0.0b3x
0.0b3y
0.0b3(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b3(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b3(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.0b3(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.0b3(-.f64 1 x)
0.0b3(-.f64 1 x)
Compiler

Compiled 298 to 197 computations (33.9% saved)

bsearch114.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
78.0ms
0.00786154708212019
15.262566597531485
35.0ms
-46946218.32249231
-934997.257668604
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes353.0ms (2.9%)

Counts
27 → 3
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
(-.f64 1 (*.f64 y (*.f64 (+.f64 x -1) (+.f64 y -1))))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))))
Outputs
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1)))
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
Calls

4 calls:

111.0ms
(-.f64 1 x)
83.0ms
y
78.0ms
x
71.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
0.0b3x
0.0b3y
0.0b3(-.f64 1 x)
0.0b3(-.f64 1 x)
Compiler

Compiled 179 to 112 computations (37.4% saved)

bsearch47.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.00786154708212019
15.262566597531485
27.0ms
-46946218.32249231
-934997.257668604
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes161.0ms (1.3%)

Counts
23 → 3
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(+.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) y))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
Outputs
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))
Calls

4 calls:

44.0ms
x
39.0ms
(-.f64 1 x)
38.0ms
(-.f64 1 x)
34.0ms
y
Results
ErrorSegmentsBranch
7.1b4x
0.3b3y
7.1b4(-.f64 1 x)
7.1b4(-.f64 1 x)
Compiler

Compiled 135 to 79 computations (41.5% saved)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
5.138714899194965e-10
1.0053271863558124e-9
23.0ms
-3.493313623030093e-7
-3.279593983035042e-9
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes334.0ms (2.8%)

Counts
20 → 3
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (+.f64 y 1)) x)
Outputs
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(+.f64 x (/.f64 (-.f64 1 x) y))
Calls

4 calls:

128.0ms
x
72.0ms
y
62.0ms
(-.f64 1 x)
60.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
18.2b5x
2.0b3y
20.3b3(-.f64 1 x)
20.3b3(-.f64 1 x)
Compiler

Compiled 108 to 61 computations (43.5% saved)

bsearch76.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
0.00786154708212019
15.262566597531485
38.0ms
-934997.257668604
-0.07057046925310688
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes222.0ms (1.9%)

Counts
18 → 3
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
Outputs
(+.f64 x (/.f64 1 y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(+.f64 x (/.f64 1 y))
Calls

4 calls:

60.0ms
y
56.0ms
x
50.0ms
(-.f64 1 x)
49.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
18.2b5x
2.4b3y
20.4b3(-.f64 1 x)
20.4b3(-.f64 1 x)
Compiler

Compiled 94 to 53 computations (43.6% saved)

bsearch40.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.00786154708212019
15.262566597531485
20.0ms
-934997.257668604
-0.07057046925310688
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes189.0ms (1.6%)

Counts
15 → 6
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
Outputs
(+.f64 x (/.f64 1 y))
(/.f64 x (+.f64 (/.f64 1 y) 1))
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
(+.f64 x (/.f64 1 y))
Calls

4 calls:

87.0ms
x
58.0ms
y
20.0ms
(-.f64 1 x)
20.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
18.8b5x
7.7b6y
21.4b3(-.f64 1 x)
21.4b3(-.f64 1 x)
Compiler

Compiled 73 to 43 computations (41.1% saved)

bsearch150.0ms (1.2%)

Algorithm
5×binary-search
Steps
TimeLeftRight
20.0ms
5.306546657222967e-8
0.00786154708212019
20.0ms
6.259163152969592e-111
5.1190314602317614e-107
34.0ms
8.530028880856775e-154
9.59566601317725e-151
38.0ms
-2.2776186667043327e-5
-3.493313623030093e-7
38.0ms
-46946218.32249231
-934997.257668604
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes201.0ms (1.7%)

Counts
13 → 5
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
Outputs
(+.f64 x (/.f64 1 y))
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
(+.f64 x (/.f64 1 y))
Calls

4 calls:

89.0ms
x
60.0ms
y
25.0ms
(-.f64 1 x)
23.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
26.0b7x
8.8b5y
28.4b5(-.f64 1 x)
28.4b5(-.f64 1 x)
Compiler

Compiled 59 to 34 computations (42.4% saved)

bsearch105.0ms (0.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
21.0ms
5.306546657222967e-8
0.00786154708212019
44.0ms
6.259163152969592e-111
5.1190314602317614e-107
20.0ms
8.530028880856775e-154
9.59566601317725e-151
20.0ms
-934997.257668604
-0.07057046925310688
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes143.0ms (1.2%)

Counts
10 → 6
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
Outputs
x
(/.f64 1 y)
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 x (/.f64 x y))
Calls

2 calls:

82.0ms
x
59.0ms
y
Results
ErrorSegmentsBranch
26.1b8x
14.7b6y
Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch184.0ms (1.5%)

Algorithm
5×binary-search
Steps
TimeLeftRight
77.0ms
0.00786154708212019
15.262566597531485
20.0ms
6.259163152969592e-111
5.1190314602317614e-107
46.0ms
8.530028880856775e-154
9.59566601317725e-151
20.0ms
-934997.257668604
-0.07057046925310688
20.0ms
-1.648545621885671e+42
-3.095014353925355e+41
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes104.0ms (0.9%)

Counts
9 → 6
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
(-.f64 1 y)
(/.f64 x (/.f64 1 y))
Outputs
x
(/.f64 1 y)
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
x
Calls

2 calls:

69.0ms
x
33.0ms
y
Results
ErrorSegmentsBranch
27.2b7x
15.0b6y
Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch150.0ms (1.3%)

Algorithm
5×binary-search
Steps
TimeLeftRight
20.0ms
5.306546657222967e-8
0.00786154708212019
22.0ms
6.259163152969592e-111
5.1190314602317614e-107
22.0ms
8.530028880856775e-154
9.59566601317725e-151
20.0ms
-934997.257668604
-0.07057046925310688
66.0ms
-1.648545621885671e+42
-3.095014353925355e+41
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes73.0ms (0.6%)

Counts
7 → 6
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
(*.f64 y x)
(/.f64 1 y)
Outputs
x
(/.f64 1 y)
1
(*.f64 y x)
1
x
Calls

2 calls:

37.0ms
x
35.0ms
y
Results
ErrorSegmentsBranch
27.2b7x
15.3b6y
Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch115.0ms (1%)

Algorithm
5×binary-search
Steps
TimeLeftRight
19.0ms
5.306546657222967e-8
0.00786154708212019
36.0ms
6.259163152969592e-111
5.1190314602317614e-107
20.0ms
8.530028880856775e-154
9.59566601317725e-151
20.0ms
-934997.257668604
-0.07057046925310688
20.0ms
-1.648545621885671e+42
-3.095014353925355e+41
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes128.0ms (1.1%)

Counts
5 → 4
Calls
Call 1
Inputs
x
x
x
1
(/.f64 1 y)
Outputs
x
(/.f64 1 y)
1
x
Calls

2 calls:

57.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
27.2b7x
16.7b4y
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch113.0ms (0.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
35.0ms
5.306546657222967e-8
0.00786154708212019
58.0ms
-934997.257668604
-0.07057046925310688
19.0ms
-1.648545621885671e+42
-3.095014353925355e+41
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes71.0ms (0.6%)

Counts
4 → 3
Calls
Call 1
Inputs
x
x
x
1
Outputs
x
1
x
Calls

2 calls:

46.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
28.5b5x
17.9b3y
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch127.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
5.306546657222967e-8
0.00786154708212019
89.0ms
-934997.257668604
-0.07057046925310688
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes19.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
x
x
x
Outputs
x
Calls

2 calls:

10.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
39.5b1x
39.5b1y
Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify161.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
64×cancel-sign-sub-inv_binary64
58×distribute-rgt-neg-in_binary64
39×distribute-lft-neg-in_binary64
37×neg-sub0_binary64
37×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087587
1114587
2149587
3189587
4226587
5278587
6332587
7391587
8439587
9478587
10514587
11536587
12550587
13554587
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 145019947047289248/18446744073709551616) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1))) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -6598682867019695/18889465931478580854784) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 310616256063759/604462909807314587353088) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 1 y)) (if (<=.f64 y -420146486421984/18446744073709551616) (/.f64 x (+.f64 (/.f64 1 y) 1)) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) (+.f64 x (/.f64 1 y)))))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) (+.f64 x (/.f64 1 y))))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 y) (-.f64 x (/.f64 x y)))))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) x)))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) 1 (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) 1 x)))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 8019026583633183/151115727451828646838272) 1 x)))
(if (<=.f64 y -8031565287072679/8589934592) x (if (<=.f64 y 8019026583633183/151115727451828646838272) 1 x))
x
Outputs
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 145019947047289248/18446744073709551616) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -6301014761436889/134217728) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 4531873345227789/576460752303423488) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -6301014761436889/134217728) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 4531873345227789/576460752303423488) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -6301014761436889/134217728) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 4531873345227789/576460752303423488) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (/.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) 1))) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -6301014761436889/134217728) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 4531873345227789/576460752303423488) (-.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (/.f64 1 y)))) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -6301014761436889/134217728) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 4531873345227789/576460752303423488) (+.f64 1 (/.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 y)))) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -6598682867019695/18889465931478580854784) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y))) (if (<=.f64 y 310616256063759/604462909807314587353088) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (+.f64 -1 x) (-.f64 -1 y)))))
(if (<=.f64 y -6598682867019695/18889465931478580854784) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 310616256063759/604462909807314587353088) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -6598682867019695/18889465931478580854784) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y))) (if (<=.f64 y 310616256063759/604462909807314587353088) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 (+.f64 x -1) (-.f64 -1 y)))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 4531873345227789/576460752303423488) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 4531873345227789/576460752303423488) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 4531873345227789/576460752303423488) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 4531873345227789/576460752303423488) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -201632472365980448/4294967296) (+.f64 x (/.f64 1 y)) (if (<=.f64 y -420146486421984/18446744073709551616) (/.f64 x (+.f64 (/.f64 1 y) 1)) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) (+.f64 x (/.f64 1 y)))))))
(if (<=.f64 y -6301014761436889/134217728) (+.f64 x (/.f64 1 y)) (if (<=.f64 y -13129577700687/576460752303423488) (/.f64 x (+.f64 1 (/.f64 1 y))) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) (+.f64 x (/.f64 1 y)))))))
(if (<=.f64 y -8031565287072679/8589934592) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) (+.f64 x (/.f64 1 y))))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 145019947047289248/18446744073709551616) (-.f64 1 y) (-.f64 x (/.f64 x y)))))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 4531873345227789/576460752303423488) (-.f64 1 y) (-.f64 x (/.f64 x y)))))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 1 y) (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) (-.f64 1 y) x)))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 6438401695799203/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) 1 (if (<=.f64 y 8473921867576403/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 y x) (if (<=.f64 y 8019026583633183/151115727451828646838272) 1 x)))))
(if (<=.f64 y -1648545621885670917791200519844185050710016) x (if (<=.f64 y -8031565287072679/8589934592) (/.f64 1 y) (if (<=.f64 y 8019026583633183/151115727451828646838272) 1 x)))
(if (<=.f64 y -8031565287072679/8589934592) x (if (<=.f64 y 8019026583633183/151115727451828646838272) 1 x))
x
Compiler

Compiled 438 to 301 computations (31.3% saved)

soundness534.0ms (4.4%)

Algorithm
3×egg-herbie
Rules
779×div-sub_binary64
766×fma-def_binary64
646×times-frac_binary64
633×sub-neg_binary64
628×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881131
12801078
2917998
34106894
0591365
11671158
2445904
31259864
44182864
0916
11916
24316
311314
434414
592514
6243214
7370114
8550214
9742314
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1193 to 914 computations (23.4% saved)

end187.0ms (1.6%)

Compiler

Compiled 412 to 266 computations (35.4% saved)

Profiling

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